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Math  /  Algebra

QuestionSolve for ss. s−82=1s=□\begin{array}{l} \frac{s-8}{2}=1 \\ s=\square \end{array}

Studdy Solution

STEP 1

1. The equation s−82=1\frac{s-8}{2} = 1 is asking us to solve for ss.
2. This is a linear equation involving basic algebraic operations.
3. The equation involves a fraction, which can be cleared by multiplication.

STEP 2

1. Clear the fraction by multiplying both sides of the equation.
2. Isolate the variable ss by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

To clear the fraction, multiply both sides of the equation by 2:
2×s−82=2×1 2 \times \frac{s-8}{2} = 2 \times 1

STEP 4

Simplify both sides:
s−8=2 s - 8 = 2

STEP 5

Add 8 to both sides of the equation to isolate ss:
s−8+8=2+8 s - 8 + 8 = 2 + 8

STEP 6

Simplify both sides:
s=10 s = 10

STEP 7

Check the solution by substituting s=10s = 10 back into the original equation:
10−82=1 \frac{10-8}{2} = 1

STEP 8

Simplify the left-hand side:
22=1 \frac{2}{2} = 1
Both sides are equal, confirming the solution is correct.
The solution is:
10 \boxed{10}

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